Semicontinuous Representability of Homothetic Interval Orders by Means of Two Homogeneous Functionals
- Gianni Bosi
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It is well known that interval orders are particularly interesting in decision theory, since they are reflexive, complete and nontransitive binary relations which may be fully represented by means of two real-valued functions. In this paper, we discuss the existence of a pair of nonnegative, positively homogeneous and semicontinuous real-valued functionals representing an interval order on a real cone in a topological vector space. We recover as a particular case a result concerning the existence of a nonnegative, positively homogeneous and continuous utility functional for a complete preorder on a real cone in a topological vector space.
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- Semicontinuous Representability of Homothetic Interval Orders by Means of Two Homogeneous Functionals
Theory and Decision
Volume 52, Issue 4 , pp 303-312
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- Kluwer Academic Publishers
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- Interval order
- Topological vector space
- Utility function
- Industry Sectors
- Gianni Bosi (1)
- Author Affiliations
- 1. Dipartimento di Matematica Applicata `Bruno de Finetti', Università di Trieste, Piazzale Europa 1, 34127, Trieste, Italy